1. Conjecture | Define Conjecture At Dictionary.com –verb (used with object) 4. to conclude or suppose from grounds or evidence insufficient to ensure reliability. –verb (used without object) 5. to form conjectures. http://dictionary.reference.com/browse/conjecture

2. Conjectures In Geometry Basic concepts, conjectures, and theorems found in typical geometry texts are introduced, explained, and investigated. Followup activities are provided to http://www.geom.uiuc.edu/~dwiggins/mainpage.html

Conjectures in Geometry An educational web site created for high school geometry students by Jodi Crane, Linda Stevens, and Dave Wiggins Introduction: This site constitutes our final project for Math 5337-Computational Methods in Elementary Geometry , taken at the University of Minnesota's Geometry Center during Winter of 1996. This course could be entitled "Technology in the Geometry Classroom" as one of its more important objectives is to provide students (presumably math educators) with a wide variety of activities (demonstrations and assignments) utilizing computer software that could be incorporated into a high school geometry classroom. This page has been designed to provide an interactive technological resource for students studying elementary high school geometry. Basic concepts, conjectures, and theorems found in typical geometry texts are introduced, explained, and investigated. Follow-up activities are provided to further demonstrate meanings and applications of concepts. The objective is to ensure that students develop a firm understanding of both the content and applications of each main idea given below in the list of conjectures. Working towards this objective, we have included:

3. Conjectures On World Literature 54 new left review 1 jan feb 2000 N owadays, national literature doesn't mean much the age of world literature is beginning, and everybody should contribute to hasten its advent http://global.wisc.edu/worldlit/readings/moretti-conjectures.pdf

4. Conjecture: Definition, Synonyms From Answers.com conjectures disproven through counterexample are sometimes referred to as false conjectures (cf. P lya conjecture). Mathematical journals sometimes publish the minor results of http://www.answers.com/topic/conjecture

5. F. Conjectures (Math 413, Number Theory) A collection of easily stated conjectures which are still open. Each conjecture is stated along with a collection of references. http://www.math.umbc.edu/~campbell/Math413Fall98/Conjectures.html

F. Conjectures Number Theory, Math 413, Fall 1998 A collection of easily stated number theory conjectures which are still open. Each conjecture is stated along with a collection of accessible references. The Riemann Hypothesis Fermat Numbers Goldbach's Conjecture Catalan's Conjecture ... The Collatz Problem The Riemann Hypothesis Def: Riemann's Zeta function, Z(s), is defined as the analytic extension of sum n infty n s Thm: Z( s )=prod i infty p i s , where p i is the i th prime. Thm: The only zeros of Z( s ) are at s s Conj: The only zeros of Z( s ) are at s =-2, -4, -6, ... and on the line Re( s Thm: The Riemann Conjecture is equivalent to the conjecture that for some constant c x )-li( x c sqrt( x )ln( x where pi( x ) is the prime counting function. Refs: Unsolved Problems Elementary Number Theory http://www.utm.edu/research/primes/notes/rh.html (notes in Chris Caldwell's Prime Pages) http://match.stanford.edu/rh/ (Dan Bump's notes) Def: n is perfect if it is equal to the sum of its divisors (except itself). Examples are 6=1+2+3, 28, 496, 8128, ... Def: The n th Mersenne Number, M

6. Hardy-Littlewood Conjectures -- From Wolfram MathWorld Oct 11, 2010 The first HardyLittlewood conjecture is called the k-tuple conjecture. It states that the asymptotic number of prime constellations can be http://mathworld.wolfram.com/Hardy-LittlewoodConjectures.html

Algebra Applied Mathematics Calculus and Analysis Discrete Mathematics ... Interactive Demonstrations Hardy-Littlewood Conjectures The first Hardy-Littlewood conjecture is called the k -tuple conjecture . It states that the asymptotic number of prime constellations can be computed explicitly. A particular case gives the so-called strong twin prime conjecture The second Hardy-Littlewood conjecture states that for all , where is the prime counting function The following table summarizes the first few values of for integer and , 2, .... The values of this function are plotted above. Sloane for Although it is not obvious, Richards (1974) proved that the first and second conjectures are incompatible with each other. SEE ALSO: Bouniakowsky Conjecture Prime Constellation Prime Counting Function Twin Prime Conjecture REFERENCES: Unsolved Problems in Number Theory, 3rd ed. New York: Springer-Verlag, 2004. Hardy, G. H. and Littlewood, J. E. "Some Problems of 'Partitio Numerorum.' III. On the Expression of a Number as a Sum of Primes." Acta Math.

7. Conjectures - Definition Of Conjectures By The Free Online Dictionary, Thesaurus Inference or judgment based on inconclusive or incomplete evidence; guesswork. 2 . A statement, opinion, or conclusion based on guesswork The commentators http://www.thefreedictionary.com/conjectures

8. Conjectures conjectures C1 Linear Pair Conjecture. C-2 Vertical Angles Conjecture. C-3 Parallel Lines Conjecture. C-4 Converse of the Parallel Lines Conjecture http://kapalama.ksbe.edu/faculty/elmotoki/Basic Geometry/conjectures.htm

Conjectures C-1: Linear Pair Conjecture C-2: Vertical Angles Conjecture C-3: Parallel Lines Conjecture C-4: Converse of the Parallel Lines Conjecture ... C-10: Perpendicular Bisector Concurrency Conjecture C-11: Altitude Concurrency Conjecture C-12: Circumcenter Conjecture C-13: Incenter Conjecture C-14: Median Concurrency Conjecture C-15: Centroid Conjecture C-16: Center of Gravity Conjecture C-17: Triangle Sum Conjecture C-18: Third Angle Conjecture C-19: Isosceles Triangle Conjecture C-20: Converse of the Isosceles Triangle Conjecture C-21: Triangle Inequality Conjecture C-22: Side-Angle Inequality Conjecture C-23: Triangle Exterior Angle Conjecture C-24: SSS Congruence Conjecture C-25: SAS Congruence Conjecture C-26: ASA Congruence Conjecture C-27: SAA Congruence Conjecture

9. Sir Karl Popper Sir Karl Popper Science conjectures and Refutations. Mr. Turnbull had predicted evil consequences, . . . and was now doing the best in his power to bring about the verification http://cla.calpoly.edu/~fotoole/321.1/popper.html

Sir Karl Popper Science: Conjectures and Refutations Mr. Turnbull had predicted evil consequences, . . . and was now doing the best in his power to bring about the verification of his own prophecies. ANTHONY TROLLOPE When I received the list of participants in this course and realized that I had been asked to speak to philosophical colleagues I thought, after some hesitation and consultation, that you would probably prefer me to speak about those problems which interest me most, and about those developments with which I am most intimately acquainted. I therefore decided to do what I have never done before: to give you a report on my own work in the philosophy of science, since the autumn of1919 when I first began to grapple with the problem, "When should a theory be ranked as scientific?" or "Is there a criterion for the scientific character or status of a theory?" The problem which troubled me at the time was neither, "When is a theory true?"nor, "When is a theory acceptable?" My problem was different. I wished to distinguish between science and pseudo-science;

10. Day 3 - Triangle Conjectures Triangle conjectures Grade level Freshman/Sophomore Content Area Geometry Curriculum Discovery of Triangle Inequality Conjecture, SideAngle Inequality Conjecture, Triangle Exterior http://mste.illinois.edu/courses/ci303fa01/students/elord/unit_plan/day3/day3.ht

Triangle Conjectures Grade level: Freshman/Sophomore Content Area: Geometry Curriculum: Discovery of Triangle Inequality Conjecture, Side-Angle Inequality Conjecture, Triangle Exterior Angle Conjecture Materials: Compass, Protractor, Patty Paper, Scissors, Ruler, Worksheets, Journal Warm Up: Journal Questions: Can you form a triangle out of any three sticks? Is there a relationship between the size of the angles and the lengths of the sides of a triangle? (While students are writing pass out all necessary materials. Discuss questions to find out what students think. Let them use the following activities to verify or negate their hypotheses.) Lesson: 1a) Triangle Inequality Conjecture Worksheet (Have students work in groups of two or three: individually completing the worksheet, but collaborating their ideas in small group discussion.) 1b) Questions to ask: Were you able to construct a triangle each time? Why or why not? (Have students formulate the Triangle Inequality Conjecture. Write it out on board: "The sum of the lengths of any two sides of a triangle is larger than the length of the third side.") 2a) Side-Angle Inequality Conjecture Worksheet (Have some students use acute triangles and others use obtuse angles. Allow for group discussion)

11. Conjectures Synonyms, Conjectures Antonyms | Thesaurus.com noun speculation, assumption. Synonyms conclusion , fancy , guess , guesstimate verb speculate. Synonyms assume , believe , conceive , conclude , deem , estimate http://thesaurus.com/browse/conjectures

12. Lore Of The Unicorn: Chapter VIII. Conjectures Lore of the Unicorn, by Odell Shepard, 1930, full text etext at sacredtexts.com http://www.sacred-texts.com/etc/lou/lou10.htm

Sacred Texts Miscellaneous Legendary Creatures Index ... Buy this Book at Amazon.com Lore of the Unicorn , by Odell Shepard, [1930], at sacred-texts.com CHAPTER VIII CONJECTURES HAVING considered some of the more important arguments and observations that have been advanced to prove the existence or non-existence of the unicorn, we may now assume the role of the sceptic who regards the whole legend as probably a product of the fancy, asking ourselves how the belief first arose. This question plunges us at once into the remote past; it forces us to think as much as possible in the way of men whose mental habit was very different from our own; it is a question, therefore, to which no conclusive answer, carrying final conviction to all, can be expected. I shall arrange my conjectures in the order of plausibility, passing from those one feels tempted to accept immediately to others that may seem at first highly dubious. Several authoritative scholars have held that the unicorn legend derives entirely from Oriental beliefs about the rhinoceros. This was the opinion of Cuvier, for example, a man whose expert knowledge and good sense command respect, and it is an opinion in keeping with the tendency of our time to prefer the light of common day to "the light that never was". An impressive "case" can be made out for this view. The parallelism between the two traditions may be shown in the words of a famous traveller of the sixteenth century. Linschoeten says of the rhinoceros that "some think it is the right Unicorne, because that as yet there hath no other bin found, but only by hearesay and by the pictures of them. The Portingalles and those of Bengala affirme that by the River Ganges in the Kingdome of Bengala are many of these Rhinoceros, which when they will drinke the other beasts stand and waite upon them till the Rhinoceros hath drinke, and thrust their horne into the water, for he cannot drinke but his horne must be under the water because it standeth so close unto his nose and muzzle: and then after him all the other beastes doe drinke. Their hornes in India are much esteemed and used against all venime, poyson, and many other diseases . . . which is very good and most true, as I myselfe by experience have found."

13. Proving Circle Conjectures LESSON 6.4 Proving Circle conjectures 331 Developing Proof As a group, go through the flowchart proof of Case 1, one box at a time. What does each statement mean? http://www.redmond.k12.or.us/14552011718214563/lib/14552011718214563/Lesson_6.4.

14. On Conjectures Of Graffiti Graffiti is a computer program that makes conjectures in mathematics and chemistry. Links to the conjectures and bibliography. http://cms.dt.uh.edu/faculty/delavinae/research/wowref.htm

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15. Conjectures File Format PDF/Adobe Acrobat Quick View http://members.cox.net/mdeslauriers1/dgAllConjectures.pdf

16. Conjectures - Definition And More From The Free Merriam-Webster Dictionary Definition of word from the MerriamWebster Online Dictionary with audio pronunciations, thesaurus, Word of the Day, and word games. http://www.merriam-webster.com/dictionary/conjectures

17. Discovering Geometry Teaching Resources 122 conjectures Discovering Geometry Teaching and Worksheet Masters 2003 Key Curriculum Press conjectures Chapter 2 C1 Linear Pair Conjecture If two angles form a linear pair, then the http://www.nku.edu/~andersonja/dgtw_conj2.pdf

18. Making And Testing Conjectures Compiled by Shirley J. Alt at The University of Minnesota Twin Cities Having students make and test conjectures is an effective way of engaging them in learning and helping http://serc.carleton.edu/sp/library/conjecture/index.html

@import "/styles/layout.css"; @import "/styles/base.css"; @import "/styles/sp_service_look.css"; Pedagogy in Action Library Making and Testing Conjectures This material was originally developed through CAUSE as part of its collaboration with the SERC Pedagogic Service. Compiled by Shirley J. Alt at The University of Minnesota - Twin Cities Having students make and test conjectures is an effective way of engaging them in learning and helping them develop their reasoning abilities. What are Conjectures? Conjectures by definition are inferences or judgments based on inconclusive or incomplete evidence (American Heritage Dictionary, 2006). They are statements, opinions or conclusions based on guesswork. Conjectures are important because they impact student learning. To Learn More. . . Why Have Students Make and Test Conjectures? Constructivist theory supports having students make and test conjectures. Constructivism is built on the foundations of Piaget (1950), Ausubel (1960), and Rumelhart (1991) and contends that students construct their own knowledge and are not just passive receivers of information. Students construct new knowledge based on their past experiences and previously acquired knowledge.

19. Unsolved Problems Understanding Mathematics by Peter Alfeld, Department of Mathematics, University of Utah Some Simple Unsolved Problems http://www.math.utah.edu/~pa/math/conjectures.html

Understanding Mathematics by Peter Alfeld, Department of Mathematics, University of Utah Some Simple Unsolved Problems One of the things that turned me on to math were some simple sounding but unsolved problems that were easy for a high school student to understand. This page lists some of them. Prime Number Problems To understand them you need to understand the concept of a prime number A prime number is a natural number greater than 1 that can be divided evenly only by 1 and itself. Thus the first few prime numbers are You can see a longer list of prime numbers if you like. The Goldbach Conjecture. Named after the number theorist Christian Goldbach (1690-1764). The problem: is it possible to write every even number greater than 2 as the sum of two primes? The conjecture says "yes", but nobody knows. You can explore the Goldbach conjecture interactively with the Prime Machine applet.

20. The Prime Page's Links++: Theory/conjectures Prime number theory if full of onjectures and open problemsin fact much of the research has been driven by just a few of these questions. http://primes.utm.edu/links/theory/conjectures/

Links related to Prime Numbers Add Update New Popular Prime number theory if full of onjectures and open problemsin fact much of the research has been driven by just a few of these questions. Top theory : conjectures Categories in theory : conjectures Goldbach Goldbach's conjecture suggests that every even number greater than 2 is the sum of two primes. Riemann The Riemann Hypothesis is perhaps the most central and important of all prime number conjectures. Resources in theory : conjectures Prime Conjectures and Open Questions - A short list of conjectures and open questions related to prime numbers. (Added: 3-Aug-2000 Hits: 3554 Rating: 4.50 Votes: 2) Rate It The abc conjecture - many conjectures could be proven by just proving this one difficult result. This page includes the abc conjecture, generalizations, consequences, tables, bibliography... (Added: 4-Aug-2000 Hits: 2629 Rating: 8.00 Votes: 3) Rate It The New Mersenne Conjecture - Table of the Mersenne primes and how the satisfy the New Mersenne Conjecture (Added: 23-Aug-2000 Hits: 1732 Rating: 10.00 Votes: 1)

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